以位勢理論構建三維度車流模式之基礎研究

An Exploring Three-Dimensional Traffic Dispersion Model with Potential Theory

10.6402/TPJ.200106.0303

卓訓榮(Hsun-Jung Cho)；賴芳瑜(Fang-Yu Lai)；羅仕京(Shih-Ching Lo)

車流模式 ； 向量場 ； 保守場 ； 格林定理 ； 位勢理論 ； Traffic flow model ； Vector field ； Conservative field ； Green's theory ； Potential theory

運輸計劃季刊

30卷2期（2001 / 06 / 30）

303 - 321

繁體中文

本研究提出一與空間及容量有關之車流模式。考慮空間與容量變數，允許此模式探討流量與容量之交互影響及車流達到穩定狀態時，流量在道路（空間）上之分布。並根據向量場理論(vector field)，說明此模式為一保守場(conservative field)，利用格林第一定理(Green's first identity)證明此模式解之存在及唯一性，且對此模式討論在混合式邊界條件下之一般解。

A novel traffic flow model based on the interrelations between spatial distributions of traffic flow and its roadway capacity is proposed herein. The model is a conservative vector field, which is proved by the vector field theory. Furthermore, the existence and the uniqueness of the solution for the model is also proved by the Green's first identity. A general analytical solution formula is discussed for a mixed type boundary value problem.

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